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Journal of Applied Mathematics and Physics 2025

Solving the Hubble Tension Using the PantheonPlusSH0ES Supernova Database

DOI: 10.4236/jamp.2025.132033, PP. 593-622

Espen Gaarder Haug, Eugene Terry Tatum

Keywords: Hubble Tension, Hubble Constant, Cosmological Redshift z, CMB Temperature

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Abstract:

Making use of a CMB temperature formula derivable from the Stefan-Boltzmann law, we have discovered a duality between the Particle Data Group (PDG) CMB temperature of 2.7255 K and its implied Hubble constant $H_{0}$ value of approximately 66.9 km/s/Mpc, which can be used to predict the 2287 observed supernova redshifts in the PantheonPlusSH0ES database. Both values of this duality fall within constraints set for these cosmological parameters by the Particle Data Group. Notably, because our solution requires a rigorous mathematical derivation of a cosmological distance-vs-redshift formula pertaining to a variant of the $R_{H} = c t$ cosmology model, our supernova redshift-matching solution fits only within the $H_{0}$ constraints of the 2018 Planck Collaboration and the PDG. It is our conclusion that, by matching the entire PantheonPlusSH0ES dataset of 2287 observations with the Planck Collaboration $H_{0}$ constraints, such a dataset provides strong support for a $H_{0}$ value of $H_{0} = {66.8943}_{？ 0.0287}^{+ 0.0287}$ km/s/Mpc based on the Fixsen (2009) observation of $T_{0} = {2.72548}_{？ 0.00057}^{+ 0.00057} ？ K$ .

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